On the construction of an optimal feedback control law for time-optimal control problem for a two-input three-dimensional nilpotent system

Guoqing Tang; D. F. Sherrill

doi:10.1109/ssst.2001.918525

On the construction of an optimal feedback control law for time-optimal control problem for a two-input three-dimensional nilpotent system

Guoqing Tang
, D. F. Sherrill

Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We derive a set of twenty-four basic formulas for computing feedback control steering any given initial state to the origin and use them to construct an optimal feedback control law for the time-optimal control problem for a two-input three-dimensional nilpotent system. The construction of such an optimal feedback control law is carried out without prior knowledge of the partition of the state space into regions of origination for twenty-four different trajectory types specified in a sufficient family for optimality.

Original language	English
Title of host publication	33rd Southeastern Symposium on System Theory, SSST 2001
Volume	2001-
DOIs	https://doi.org/10.1109/ssst.2001.918525
State	Published - 2001

Access to Document

10.1109/ssst.2001.918525

Cite this

@inproceedings{2a2e41cd1be7446fbec1830252af0f33,

title = "On the construction of an optimal feedback control law for time-optimal control problem for a two-input three-dimensional nilpotent system",

abstract = "We derive a set of twenty-four basic formulas for computing feedback control steering any given initial state to the origin and use them to construct an optimal feedback control law for the time-optimal control problem for a two-input three-dimensional nilpotent system. The construction of such an optimal feedback control law is carried out without prior knowledge of the partition of the state space into regions of origination for twenty-four different trajectory types specified in a sufficient family for optimality.",

author = "Guoqing Tang and Sherrill, \{D. F.\}",

year = "2001",

doi = "10.1109/ssst.2001.918525",

language = "English",

volume = "2001-",

booktitle = "33rd Southeastern Symposium on System Theory, SSST 2001",

}

TY - GEN

T1 - On the construction of an optimal feedback control law for time-optimal control problem for a two-input three-dimensional nilpotent system

AU - Tang, Guoqing

AU - Sherrill, D. F.

PY - 2001

Y1 - 2001

N2 - We derive a set of twenty-four basic formulas for computing feedback control steering any given initial state to the origin and use them to construct an optimal feedback control law for the time-optimal control problem for a two-input three-dimensional nilpotent system. The construction of such an optimal feedback control law is carried out without prior knowledge of the partition of the state space into regions of origination for twenty-four different trajectory types specified in a sufficient family for optimality.

AB - We derive a set of twenty-four basic formulas for computing feedback control steering any given initial state to the origin and use them to construct an optimal feedback control law for the time-optimal control problem for a two-input three-dimensional nilpotent system. The construction of such an optimal feedback control law is carried out without prior knowledge of the partition of the state space into regions of origination for twenty-four different trajectory types specified in a sufficient family for optimality.

UR - https://dx.doi.org/10.1109/SSST.2001.918525

U2 - 10.1109/ssst.2001.918525

DO - 10.1109/ssst.2001.918525

M3 - Conference contribution

VL - 2001-

BT - 33rd Southeastern Symposium on System Theory, SSST 2001

ER -

On the construction of an optimal feedback control law for time-optimal control problem for a two-input three-dimensional nilpotent system

Abstract

Access to Document

Other files and links

Fingerprint

Cite this